On a class of analytic functions closely related to starlike functions with respect to a boundary point

Abstract

In this article, we introduce a new class of analytic functions in the open unit disc that are closely related to functions that are starlike with respect to a boundary point. For this new class of functions, we obtain representation theorem, interesting coefficient estimates and also certain differential subordination implications involving this new class.

Keywords

• analytic
• univalent
• starlike function with respect to a boundary point
• coefficient estimates
• differential subordination